In this program
- Rings and modules
- Localization and dimension
- Homological algebra tools
Homological algebra tools
Commutative algebra · Theoretical / proof-based
Projective
Objectives
- Projective
- Injective modules
- Ext and Tor functors (definitions and basic computations)
- Depth and Auslander–Buchsbaum formula (introduction)
- Completion and Hensel's lemma
- Smooth and étale morphisms (preview)
Study materials
- Study guideComing soon
- Exam StrategyComing soon
- Common MistakesComing soon
- WorksheetsComing soon
- Word problemsComing soon
- Mixed PracticeComing soon
- Multi-Unit ProblemsComing soon
- ReviewComing soon
- Practice testComing soon
- Answer keyComing soon
Interactive practice
Quizzes, typed answers, and flashcards for this unit — coming soon.
- Coming soon
Quiz
Multiple-choice questions with instant feedback
- Coming soon
Typed practice
Type answers and check them
- Coming soon
Flashcards
Vocabulary and key facts
- Coming soon
Mixed quiz
Harder mixed review for this standard